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Finding the Fourth Proportional to 1,781.80, 2,672.70 and 1,673.80

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Solution

The fourth proportional to 1,781.80, 2,672.70 and 1,673.80 is: 2,510.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.80 : 2,672.70 = 1,673.80 : x
  2. Step 2: Convert to fraction form
    1,781.80/2,672.70 = 1,673.80/x
  3. Step 3: Cross multiply
    1,781.80x = 2,672.70 × 1,673.80
  4. Step 4: Simplify right side
    1,781.80x = 4,473,565.26
  5. Step 5: Solve for x
    x = 4,473,565.26/1,781.80
  6. Step 6: Final answer
    x = 2,510.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.